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Finding the Fourth Proportional to 796,958, 1,099,794.92 and 434,381.84

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Solution

The fourth proportional to 796,958, 1,099,794.92 and 434,381.84 is: 599,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,958 : 1,099,794.92 = 434,381.84 : x
  2. Step 2: Convert to fraction form
    796,958/1,099,794.92 = 434,381.84/x
  3. Step 3: Cross multiply
    796,958x = 1,099,794.92 × 434,381.84
  4. Step 4: Simplify right side
    796,958x = 477,730,940,972.25
  5. Step 5: Solve for x
    x = 477,730,940,972.25/796,958
  6. Step 6: Final answer
    x = 599,443.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.